Answer:
[tex] {y}^{3} [/tex]Step-by-step explanation:
[tex]2 {y}^{3} - {y}^{3} [/tex]
[tex] {y}^{3} \: (collect \: like \: terms)[/tex]
A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of the tree were measured. The length of the man's shadow was 3 feet 6 inches. The length of the tree's shadow was 10 feet 6 inches. What is the height of the tree?
Answer:
17 feets 3 inches
Step-by-step explanation:
Given :
Converting the parameters to inches only:
Recall:
1 feets = 12 inches
Man's height : 5 feets 9 inches = (12 *5) + 9 = 69 inches
Man's shadow : 3 feets 6 inches = (12 * 3) + 6 = 42 inches
Tree's shadow : 10 feets 6 inches = (12 * 10) + 6 = 126 inches
(Tree's height / tree's shadow) = (man's height / man's shadow)
Let tree's height = x
x / 126 = 69 / 42
Solve for x
42x = 126 * 69
42x = 8694
x = 8694 / 42
x = 207 inches
207 / 12 = 17 feets 3 inches
Answer:
17.25 ft
Step-by-step explanation:
The figure shows two triangles X Y Z and H R Q. Side X Y has a length of h units, side Y Z has a length of 10 feet 6 inches, angle Y is a right angle. Side H R has a length of 5 feet 9 inches, side R Q has a length of 3 feet 6 inches. Angle R is a right angle.
Let h be the height of the tree.
Convert all measurements to a single unit, inches, using the fact that 1 foot is equal to 12 inches.
ZY=(10⋅12) in.+6 in.
Simplify.
ZY=126 in.
QR=(3⋅12) in.+6 in.
Simplify.
QR=42 in.
HR=(5⋅12) in.+9 in.
Simplify.
HR=69 in.
ZX¯¯¯¯¯ and QH¯¯¯¯¯¯ are parallel because the rays of the Sun that form them are parallel. Therefore, the angles they form with the ground are congruent: ∠Z≅∠Q.
∠Y≅∠R by the Right Angle Congruence Theorem.
Therefore, by the Angle-Angle Similarity △ZXY~△QHR.
Find XY. Set up a proportion with the lengths of the known sides and the unknown length (height of the tree).
ZY/QR = XY/HR
Substitute the values.
126/42=h/69
Cross multiply.
42h=69(126)
Simplify.
42h=8694
Divide both sides by 42.
h=207 in.
Therefore, the height of the tree is 207 in., or 17.25 ft.
31. Two charged particles, each of 2 x 10-C, are brought from infinity to a
separation of 5 cm. Find the increase in electrical potential energy in the
process.
Answer:
P = 72 J
Step-by-step explanation:
Given that,
Charges, [tex]q_1=q_2=2\times 10^{-5}\ C[/tex]
These charges are brought from infinity to a separation of 5 cm.
We need to find the increase in the electrical potential energy in the process. The formula for the electric potential energy is given by :
[tex]P=k\dfrac{q_1q_2}{r}\\\\P=9\times 10^9\times \dfrac{(2\times 10^{-5})^2}{0.05}\\\\P=72\ J[/tex]
So, the required electric potential energy is 72 J.
Answer: bye
Step-by-step explanation:
for sending answers to people with stipud messages that’s why nobody replied to your questions cause your annoying it’s karma have a bad day with your pixelated profile picture
PLEASE HELP ASAP PLEASE WORTH 20 POINTS!!
Answer:
y= -2
y=-2
Step-by-step explanation:
what is −1−2.5 as a decimal
Answer: 3.5
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
Need help on this one
Answer:
Step-by-step explanation:
The first step is to isolate g.
Multiply by 4
When you do that you get
4*(1/4 g) = 4*(3/5)
g = 12/5
g = 2.4
Please help asap!!
Find the missing side lengths
On cold days Leah likes to make hot cocoa. She uses 8 tablespoons of cocoa and 2 tablespoons of sugar. Leah doubles the recipe when her cousin Vinney visits. What is the doubled recipe?
Answer:
16 tablespoons of cocoa and 4 tablespoons of sugar just multiply by 2
Penny makes $5,400 a month plus commission. She gets 3% of everything she sells. If Penny sold $62,000 worth of items this month, what is her salary for the month?
Answer:
Her salary for the month = $7260
Step-by-step explanation:
Given
Base Salary = $5,400 Amount sold = $62,000Percentage rate = 3%To determine
Salary for month = ?Given that Amount sold = $62,000 and Percentage rate 3%
so
Salary from commission rate = Amount sold × Percentage rate
= $62,000 × (3 / 100) = $1860
Thus, the total salary can be calculated by adding Base salary and Salary from the commission rate.so
Total salary = Base salary + Salary from commission rate
= $5,400 + $1860
= $7260
Hence, her salary for the month = $7260
Help me with math please
Answer:
Option C i.e. Alternate Interior is correct.
Step-by-step explanation:
From the figure, it is clear that the two parallel lines, let say l and m, are cut by a traversal.
In other words,
if [tex]l[/tex] ║ [tex]m[/tex], then ∠x ≅ ∠y
In our case, x and y are alternate interior angles.
Thus, the two parallel lines, let say l and m, are cut by a traversal, making the alternate interior angles x and y.
Please note that the alternate interior angles x and y are congruent.
Hence, option C i.e. Alternate Interior is correct.
brainliest if its correct
Here is a right-angled triangle.
601
XCm
5 cm
Cos 60° = 0.5
b) What is the value of x?
(2)
Answer:
Hypotenuse = 10 Cm
Step-by-step explanation:
Given:
θ = 60°
Base = 5 cm
Hypotenuse = x cm
Find:
Hypotenuse
Computation:
Cos θ = Base / Hypotenuse
Cos 60° = 5 / Hypotenuse
0.5 = 5 / Hypotenuse
Hypotenuse = 10 Cm
HELP ON AREA PLZZZZ HELP
Answer:
70cm
Step-by-step explanation:
Area of triangle: (5.8x4)/2=11.6
Area of big rectangle: 8x5.8=46.4
Area of small rectangle: 2.4x5=12
12+46.4+11.6=70
Transversal d intersects lines e and f to form 8 angles. The angles formed with line e, clockwise from top left, are 35 degrees, blank, 6, blank. The angles formed with line f, clockwise from top left are 5, 57 degrees, blank, 4. For the diagram shown, find the measures of angles 4, 5, and 6. m∠4 = degrees m∠5 = degrees m∠6 = degrees
A is the answer on edge
Answer:
d a c
Step-by-step explanation:
HELP!!!!!!!!!!!! ITS FOR A FRIEND
The population in Smalltown in 2010 was 30,500 people and is growing exponentially at a rate of 3 percent. Write an equation that defines the population t years after 2010?
i will give brainlist
need answer fast!
Find the product of ( 2x^2 − 4x + 3 ) ( 3x + 6 ) using the box method shown below. What will the monomial be in the box marked with a B?
Select one:
a. - 12x 2
b. - x 2
c. - x
d. - 12x
Answer:
[tex]-12x^2[/tex]
Step-by-step explanation:
Think of the box method as completing a chart or a multiplication table.
We can see that box B is in the second column of the first row. The second column is labeled by -4x. The first row is labeled by 3x. So, in order to fill out box B, you have to multiply -4x and 3x together.
To do so, multiply the terms' coefficients (the numbers in front of the variable). -4 times 3 makes -12. Then, multiply the variables - just keep the variable and add their exponents. x and x both have exponents of one, which makes [tex]x^1^+^1[/tex], resulting in [tex]x^2[/tex]. Put them together and the answer would be [tex]-12x^2[/tex].
The solution set of 2(x+4) -5 =-4 is *
-5
3
5
-4
Step-by-step explanation:
2(x+4)-5=-4
2x+8-5=-4
2x=-4-8+5
2x=-12+5
2x=-7
x=-7/2
If g(x)= x^2 - 7x Find g(y-8)
Answer:
The answer is y² - 23y + 120.
Step-by-step explanation:
The steps to do :
g(x) = x² - 7x
g(y - 8) = (y - 8)² - 7(y - 8)
g(y - 8) = y² - 16x + 64 - 7y + 56
g(y - 8) = y² - 23y + 120
g(y-8) is equal to the quadratic expression y² - 23y + 120.
To find g(y-8), we need to substitute y-8 into the function g(x) = x² - 7x in place of x.
Replacing x with y-8, the function becomes:
g(y-8) = (y-8)² - 7(y-8)
To simplify, we expand and simplify the expression:
(y-8)² = (y-8)(y-8) = y² - 16y + 64
-7(y-8) = -7y + 56
Combining the terms, we have:
g(y-8) = y² - 16y + 64 - 7y + 56
Simplifying further:
g(y-8) = y² - 23y + 120
Therefore, g(y-8) is equal to the quadratic expression y² - 23y + 120.
By substituting y-8 into the function g(x), we obtained a new function g(y-8) in terms of y. This allows us to evaluate g(y-8) for any value of y and determine the corresponding output.
To learn more about the quadratic function;
https://brainly.com/question/11485644
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15.
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists’ rates.
northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/h
northbound bicyclist = 18 km/h; southbound bicyclist = 14 km/h
northbound bicyclist = 18 km/h; southbound bicyclist = 13 km/h
northbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h
Answer:
In 1.25 hours, their combined speed is 40 km, so their speed per hour is 32 km/h
So the answer is B. northbound bicyclist = 18 km/h
southbound bicyclist = 14 km/h
Step-by-step explanation:
the speed of the slower is x and the faster x+4 km/h
that equals 32 km and the speed of the slower is 14 km/hr and the faster 18 km/hr.
in 1h15m the slower goes 17.5 km and the faster 22.5 km
Answer:northbound bicyclist = 18 km/h; southbound bicyclist = 11 km/h
Solve Similar Triangles (advanced)
Solve for x!
PLEASE HELP!!
Answer:
13.5
Step-by-step explanation:
The two triangles are similar
According to the question
The equation is
⅔=11/x+3
2x+6=33
2x=27
x=13.5
An observation tower's shadow is 32 feet long. Not far away, a marble column's shadow is 8 feet long. If the observation tower is 60 feet tall, how tall is the marble column?
Answer:
15 feet
Step-by-step explanation:
This is calculated using the formula
Height of observation tower/Shadow of observation tower = Height of Marble column/Shadow of marble column
From the question
Height of observation tower = 60 ft
Shadow of observation tower = 32 ft
Height of Marble column = ? x
Shadow of marble column = 8 ft
Hence:
60ft/32ft = x/8ft
Cross Multiply
60ft × 8 ft = 32ft × x
x = 60 ft × 8 ft/32 ft
x = 15 ft
Therefore, the marble column is 15 feet tall
I need help with this please help .
Answer:
Subs: 49.5 students, Tex-mex: 144 students, Italian: 31.5 students
Step-by-step explanation
The number of students eating a type of food can be found by using:
Percent * number of students
So in this equation, we can use this formula to find the answers.
Subs:
22% * 225 = 0.22 * 225 = 49.5
Tex-mex:
64% * 225 = 0.64 * 225 = 144
Italian:
14% * 225 = 0.14 * 225 = 31.5
There is an issue- you can't have half a person. Either this question is wrong, or the person who wrote it didn't keep this in mind.
Ask your teacher whether this question is right, or just leave the answer like this.
Flora made 3 withdrawals of $75 each from her bank account. What was the overall change in her account?
The overall change in her account will be the deduction of $225 from the beginning of her account.
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
We have been given that Flora made 3 withdrawals of $75 each from her bank account.
We have to determine the overall change in her account
Let's assume that the amount at the beginning of her account would be $1000.
The overall change in her account is equal to the difference between the beginning of her account and the amount of the total withdrawals
The overall change in her account = $1000 - $75 × 3
The overall change in her account = $1000 - $225
Apply the subtraction operation,
The overall change in her account = $775
Thus, the overall change in her account will be the deduction of $225 from the beginning of her account.
Learn more about Subtraction operations here:
brainly.com/question/25834626
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Help and explain please?
help me solve please
Answer:
x=78; x=56
Step-by-step explanation:
For the first question we know that the angle is 180 degrees, that means the two angles inside of it have to add up to 180:
102+x=180
Subtract 102 from both sides:
x=78
For the second question we know that the angle is 90 degrees, meaning that the two angles on the inside have to add up to 90:
34+x=90
Subtract 34 from both sides:
x=56
HELPPP what is 2x - 5 by the Square root of 9
$56,990 with a interest rate of %50 with a extra 4,000 comes into Dolan’s account every 2 weeks, how much will he have if he waits 3 years?
A cat chased after a dog for l mile, and then stop to rest. As soon as the cat sotped,the dog chased after the cat for 1500 yard back towards their starting point. How many yards were the ainmals for her starting point?
Answer:
0.14768 mile
Step-by-step explanation:
Given that:
Distance at which cat chased dog = 1 mile ; hence they've moved 1 mile from their starting position
Distance for. Which dog chased cat =. 1500 yards towards starting position
Converting miles to yards
1 mile = 1760 yards
1 yard = 0.000568 mile
Number of miles the animals are from Their starting position :
1760 yards - 1500 yards = 260 yards
260 * 0.000568 = 0.14768 mile
I need help please. Thank you
Answer:
try 4 inches
Step-by-step explanation:
since the diameter is 8 inches, then we can do 82 to find the radius, or 4 inches.
Find the value of x.